Water Flows from a Tank of Constant Cross-Sectional Area 50 $\mathrm{ft}^{2}$

question 149

Multiple Choice

Water flows from a tank of constant cross-sectional area 50 $\mathrm{ft}^{2}$ through an orifice of constant cross-sectional area $\frac{1}{4}$ $\mathrm{ft}^{2}$ located at the bottom of the tank. Initially, the height of the water in the tank was 20 ft, and t sec later it was given by the equation $2 \sqrt{h}+\frac{1}{25} t-2 \sqrt{20}=0 \quad \quad \quad 0 \leq t \leq 50 \sqrt{20}$ How fast was the height of the water decreasing when its height was 2 ft?

• A) \(100 \sqrt{5}-50 \sqrt{2}\) ft/sec
• B) \(100 \sqrt{5}-50 \sqrt{2}\) ft/sec.
• C) \(\frac{2}{25}\) ft/sec
• D) \(\frac{\sqrt{2}}{25}\) ft/sec

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